Increasing flux density increases magnetic force?

When calculating the attraction/repulsion force generated by a magnetic field should I consider the flux density of both and add them to the calculation?
By increasing that vector would it increase the total force generated or it has no relevance at all?

Well, I want to try to calculate the attraction/repulsion force between two magnetic fields.
And I was curious... Should I consider the flux density of both magnetic fields? Is it important to determine the magnetic "forces"?

assuming the magnetic field from a magnet has no effect on that magnet itself, the only force is the outside force from the other magnet

Wait, could you explain this point in detail! This is the first time I've ever heard this :s
I thought that in any situation where there are two magnetic fields, the force of attraction/repulsion is due to the objects that have those fields. Hence the force is due to both of them acting on each other. An analogy is needed here!

Magnet(1) and Magnet(2) , are = in mass, strength,type,etc...
They are separated by a distance (d), they are opposite poles.
M(1) applies a force on M(2) and viceversa.

So far so good?

But what I do not understand is ... How can the magnetic field effect the magnet itself? Could you please add an example?

yes, i've never seen a calculation of it … i believe it's very complicated, and depends on exactly how the magnet is composed

it's not like the simple coulomb's law for electric charges

my recommendation is to forget about it (unless your professor sets it as a question)

I believe the best way to figure this problem out is to do an experiment!
Thankfully this question is not an important on, but for future references it nice to know how to deal with a problem like this.

When I imagine two magnets that can move freely on a table, I can only seen two of them moving closer towards a certain point due to the force of attraction.
When I see both of them moving, that clearly meant that the force is due to both poles. The only explanation was that each magnet applies a force on the other, in conclusion the force's of attraction or repulsion is based on the two magnets.

Interesting subject indeed.

I remember back in school when the idea of magnetism was firstly introduced, it was very fascinating and our teacher explained it so simply at that time, but its one of the most complicated ideas ever... When studying E&M and relating magnets to it.

The main effect of a magnet on itself is that when one has a strong magnet that is not well sintered it can explode from the internal magnetic stresses.

The force between the magnets must be the same but reversed for each magnet. There. Is no easy answer to evaluating the force because every magnet geometry is different and every magnetic material has different characteristics.

The strength of both magnets must be taken into account. The forces at a given separation are related indirectly to the product of the field strengths.

The main effect of a magnet on itself is that when one has a strong magnet that is not well sintered it can explode from the internal magnetic stresses.

The force between the magnets must be the same but reversed for each magnet. There. Is no easy answer to evaluating the force because every magnet geometry is different and every magnetic material has different characteristics.

The strength of both magnets must be taken into account. The forces at a given separation are related indirectly to the product of the field strengths.

That barley made sense to me!(Complicated stuff here!)

What I understood is that some magnet's would have strong magnetic stresses and would case them to break/explode, I never heard of this before.

I'm just interested more in magnet to magnet interaction or electromagnet to magnet or electromagnet to electromagnet.

Agreed. Each magnet's would have a strength(I assume you mean each pole's strength?). I don't rely on field strength because in some weird cases you would have two magnets of the same type. But one with a magnetic field weaker than the other, yet has a higher ability to lift objects because it's a larger size. I assume its because of the higher rate of the aligned electron spins.

But man ow man you guys have me a lot of info. on things I had no IDEA about.

I discovered the calculation is very very difficult to do. Thus, created experiments to measure the force between them.

The ability to lift objects comes from the force between the magnets. This in turn comes from the rate of change of magnetic field energy with separation via the equation F=dW/dl, W being the energy, 'l' being the separation.

Two overlapping magnetic fields will interact, the energy in the composite fields being in some cases weaker than the sum of the energies of the individual fields, thus creating attractive forces.

It is easy to see that a simple scaling up in 3d of the geometry results in the force rising as the cube of the linear dimension. Other geometry changes are more complex to determine, being dependent on the geometry. A very flat magnet whose area is increased might just have the force increase linearly with linear dimension.

Correct!
But, a magnet will react to the outside force. The magnet will either attract/repel itself towards the outside "force".
The amount of attraction/repulsion would depend on that magnet's pole strength and separation.